The liquid state of one-dimensional Bose mixtures: a quantum Monte-Carlo study

TL;DR

This study uses quantum Monte-Carlo methods to analyze the ground-state properties of one-dimensional Bose mixtures, identifying conditions for liquid formation and characterizing their structural and dynamical properties.

Contribution

It provides a detailed quantum Monte-Carlo analysis of the liquid phase in 1D Bose mixtures, including phase diagram and structural properties, which was not previously comprehensively studied.

Findings

Liquid state forms when inter-species attraction exceeds a critical ratio.

Identified equilibrium density and spinodal point in the phase diagram.

Calculated properties like chemical potential, speed of sound, and correlation functions.

Abstract

By using exact quantum Monte-Carlo methods we calculate the ground-state properties of the liquid phase in one-dimensional Bose mixtures with contact interactions. We find that the liquid state can be formed if the ratio of coupling strengths between inter-species attractive and intraspecies repulsive interactions exceeds a critical value. As a function of this ratio we determine the density where the energy per particle has a minimum and the one where the compressibility diverges, thereby identifying the equilibrium density and the spinodal point in the phase diagram of the homogeneous liquid. Furthermore, in the stable liquid state, we calculate the chemical potential, the speed of sound, as well as structural and coherence properties such as the pair correlation function, the static structure factor and the one-body density matrix, thus providing a detailed description of the bulk region in self-bound droplets.